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Finding the Third Proportional to 360,948 and 504,657.75

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Solution

The third proportional to 360,948 and 504,657.75 is: 705,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,948 : 504,657.75 = 504,657.75 : x
  2. Step 2: Convert to fraction form
    360,948/504,657.75 = 504,657.75/x
  3. Step 3: Cross multiply
    360,948x = 504,657.75 × 504,657.75
  4. Step 4: Simplify right side
    360,948x = 254,679,444,635.06
  5. Step 5: Solve for x
    x = 254,679,444,635.06/360,948
  6. Step 6: Final answer
    x = 705,584.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.